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Finding the Fourth Proportional to 9,939.92, 13,711.80 and 6,161.84

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Solution

The fourth proportional to 9,939.92, 13,711.80 and 6,161.84 is: 8,500.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.92 : 13,711.80 = 6,161.84 : x
  2. Step 2: Convert to fraction form
    9,939.92/13,711.80 = 6,161.84/x
  3. Step 3: Cross multiply
    9,939.92x = 13,711.80 × 6,161.84
  4. Step 4: Simplify right side
    9,939.92x = 84,489,917.71
  5. Step 5: Solve for x
    x = 84,489,917.71/9,939.92
  6. Step 6: Final answer
    x = 8,500.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.